The research about elementary education teaching based on polynomial theory and aliquot theorem

Mei Yang, Hongfang Shi, Qian Lu
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Abstract

By researching the theory of polynomial in the higher algebra and the divisibility of integer in the elementary number theory, we reach a conclusion that it’s advantageous to combine them together in the elementary education professional. Taking some similar definitions, theorems, conclusions and proof method of theorems for example, we prove this method proposed in this paper is effective to avoid repeated learning and improve the learning efficiency. Hence students could realize the internal relations between different knowledge and digest them. So it has instructive significance to the mathematics teaching of the elementary school.
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基于多项式理论和等分定理的基础教育教学研究
通过对高等代数中的多项式理论和初等数论中的整数可整除性理论的研究,得出了在基础教育专业中把它们结合起来是有利的结论。以一些相似的定义、定理、结论和定理的证明方法为例,证明本文提出的方法有效地避免了重复学习,提高了学习效率。从而使学生认识到不同知识之间的内在联系,并加以消化。因此对小学数学教学具有指导意义。
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